IndisputableMonolith.Gravity.Analysis.ReggeExactMidpointM2TTIdentity4DAudit
Audit package for the exact midpoint Bloch m² transverse-traceless identity in 4D Regge calculus. Gravity and discrete-geometry workers cite it when checking that the closed identity is packaged for external review. The module re-exports the identity module behind a single audit bundle rather than reproving the algebra.
claimAn audit bundle packaging the exact midpoint Bloch identity for the squared mass $m^2$ of the transverse-traceless (TT) sector in 4D Regge calculus, as closed by the companion identity module.
background
In Recognition Science gravity analysis, Regge calculus supplies a discrete curvature skeleton on which continuum limits and mode identities are checked. The companion module closes the exact midpoint Bloch $m^2$ TT identity in four dimensions, with supporting numerical scripts for the identity and kernel certificates.
The present module sits one layer above that closure. It does not introduce new geometric axioms; it packages the already-closed 4D midpoint identity so that an audit surface (named in-module as the $m^2$ TT identity audit package) can be imported without pulling the full proof graph into every downstream check.
Notation: $m^2$ is the squared mass parameter of the Bloch mode; TT means the transverse-traceless graviton sector; midpoint refers to the exact midpoint evaluation used in the discrete identity rather than a continuum approximation.
proof idea
This is an audit/packaging module, not a proof module. It imports the closed exact-midpoint $m^2$ TT identity module and exposes a single audit package object. No independent algebraic argument is developed here; the mathematical content lives upstream in the identity closure and its kernel-certificate scripts.
why it matters in Recognition Science
The module gives Gravity.Analysis a stable audit handle on the 4D Regge exact-midpoint Bloch $m^2$ TT identity after that identity has been closed. Downstream used-by edges are empty in the current graph, so its role is organizational: external review and script-backed certification can cite one package rather than the raw identity module. In the broader RS gravity stack this keeps discrete TT-mode bookkeeping separable from continuum forcing landmarks (eight-tick structure, $D=3$ spatial forcing) while still tying the 4D Regge check to the closed identity.
scope and limits
- Does not prove the midpoint $m^2$ TT identity; that lives in the imported identity module.
- Does not extend the identity beyond 4D Regge calculus.
- Does not supply continuum Einstein-equation derivations or phenomenological fits.
- Does not certify numerical scripts; it only packages the Lean-side audit surface.